# Circles A and B have the following equations #(x -4 )^2+(y +3 )^2= 25 # and #(x +4 )^2+(y -1 )^2= 16 #. What is the greatest possible distance between a point on circle A and another point on circle B?

The greatest possible distance will be along the extended line joining the centers of the two circles, between the farthest points of each circle from the other.

Circle A:

Circle B

The distance between the two centers is

The greatest distance between two points on these circles would be

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The greatest possible distance between a point on circle A and another point on circle B is the sum of their radii, which is ( \sqrt{25} + \sqrt{16} = 5 + 4 = 9 ) units.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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